Critical point theorems

H. Boukhrisse and M. Moussaoui

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-10

Abstract:

Let H be a Hilbert space such that H = V ⊕ W , where V and W are two closed subspaces of H . We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990-1991) to the case where V and W are not necessarily finite dimensional. We give two mini-max theorems where the functional Φ : H → ℝ is of class 𝒞 2 and 𝒞 1 , respectively.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:817548

DOI: 10.1155/S0161171202011249

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